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Finding the Third Proportional to 782,330.63 and 1,811,104.88

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Solution

The third proportional to 782,330.63 and 1,811,104.88 is: 4,192,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,330.63 : 1,811,104.88 = 1,811,104.88 : x
  2. Step 2: Convert to fraction form
    782,330.63/1,811,104.88 = 1,811,104.88/x
  3. Step 3: Cross multiply
    782,330.63x = 1,811,104.88 × 1,811,104.88
  4. Step 4: Simplify right side
    782,330.63x = 3,280,100,868,248.77
  5. Step 5: Solve for x
    x = 3,280,100,868,248.77/782,330.63
  6. Step 6: Final answer
    x = 4,192,729.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.